180540306 has 64 divisors (see below), whose sum is σ = 427420800. Its totient is φ = 56291328.

The previous prime is 180540263. The next prime is 180540319. The reversal of 180540306 is 603045081.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 180540306.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 176665 + ... + 177683.

It is an arithmetic number, because the mean of its divisors is an integer number (6678450).

Almost surely, 2^180540306 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 180540306, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213710400).

180540306 is an abundant number, since it is smaller than the sum of its proper divisors (246880494).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

180540306 is a wasteful number, since it uses less digits than its factorization.

180540306 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1240 (or 1234 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 180540306 is about 13436.5287928095. The cubic root of 180540306 is about 565.1859945772.

Adding to 180540306 its reverse (603045081), we get a palindrome (783585387).

The spelling of 180540306 in words is "one hundred eighty million, five hundred forty thousand, three hundred six".